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Finding the Third Proportional to 16,678.50 and 36,273

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Solution

The third proportional to 16,678.50 and 36,273 is: 78,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.50 : 36,273 = 36,273 : x
  2. Step 2: Convert to fraction form
    16,678.50/36,273 = 36,273/x
  3. Step 3: Cross multiply
    16,678.50x = 36,273 × 36,273
  4. Step 4: Simplify right side
    16,678.50x = 1,315,730,529
  5. Step 5: Solve for x
    x = 1,315,730,529/16,678.50
  6. Step 6: Final answer
    x = 78,887.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.